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Finding the Third Proportional to 90,504 and 198,522

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Solution

The third proportional to 90,504 and 198,522 is: 435,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,504 : 198,522 = 198,522 : x
  2. Step 2: Convert to fraction form
    90,504/198,522 = 198,522/x
  3. Step 3: Cross multiply
    90,504x = 198,522 × 198,522
  4. Step 4: Simplify right side
    90,504x = 39,410,984,484
  5. Step 5: Solve for x
    x = 39,410,984,484/90,504
  6. Step 6: Final answer
    x = 435,461.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.